In this work, we simulate the effects of corona discharges on the air flow over a high-lift system. The numerical model reproduces the overall phenomenon of the boundary layer acceleration, and is not a model for the plasma itself, it integrates an electrostatic force to the Navier- Stocks equations, which depends on the electric charge density of the created plasma, the model is validated on turbulent air flow over a flat plate system. The CFD code FLUENT associated with a UDF module allows these simulations , the computational results of the high lift system show a significant increase of the lift coefficients between the angles of attack of 1.8 ° and 6 ° and a delay of the boundary layer separation.